Overpartition function modulo powers of 2

DOI10.1007/s11139-016-9784-2zbMath1379.05014OpenAlexW2340564807MaRDI QIDQ1688187

Xue Yang, Bernard L. S. Lin, Su-Ping Cui

Publication date: 5 January 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9784-2

zbMATH Keywords

partitioncongruenceoverpartition

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items

Explicit congruences modulo 2048 for overpartitions, Congruences modulo 64 and 1024 for overpartitions, Congruences for the coefficients of the powers of the Euler product, New congruences for overcubic partition pairs, Congruence properties modulo powers of 2 for overpartitions and overpartition pairs, Infinite families of congruences modulo 5 and 9 for overpartitions

Cites Work

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• Arithmetic properties of \(\ell\)-regular partitions
• Ramanujan-type congruences for overpartitions modulo 5
• Congruences modulo 9 and 27 for overpartitions
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• The overpartition function modulo small powers of 2
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• Jagged partitions
• Overpartition function modulo 16 and some binary quadratic forms
• A short Proof of a conjecture by Hirschhorn and Sellers on Overpartitions
• Overpartitions
• Proof of a conjecture of Hirschhorn and Sellers on overpartitions
• CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS
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